Question

Is -2 + 4y +2=8x a direct variation equation

Answer 1

Direct variation

Explanation:

Given –2 + 4y + 2 = 8x.

To find the given expression –2 + 4y + 2 = 8x is direct variation or not.

If y varies directly as x, then y = kx.

If y varies inversely as x, then $y=\frac{k}{x}$

⇒ –2 + 4y + 2 = 8x

Combine like terms together.

⇒ –2 + 2 + 4y = 8x

⇒ 4y = 8x

Divide both sides of the equation by 4, we get

⇒ y = 2x

Which is in the format of y = kx.

Thus y varies directly as x.

Hence, –2 + 4y + 2 = 8x is direct variation.